Answer:
7.04
Step-by-step explanation:
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ANSWER
The smaller number is 7.
EXPLANATION
Let the numbers be x and y.
Then we have;
y-3x=3... eqn (1)
If the sum of the numbers is 3 then,
y+x=31... eqn (2)
Eqn(2) - Eqn (1)
x--3x=31-3

Divide both sides by 4,

We put x=7 into the second equation,
y+7=31
y=31-7
y=24
The smaller of the two numbers is 7.
For this case we have the following function:
F (x) = 3x ^ 2 + 6x-24
We observe that it is a quadratic equation.
The graph is therefore a parabola.
Its cut points are:
(-4, 0)
(2, 0)
Answer:
See attached image to see graph of the function
Answer:
5.01%
Step-by-step explanation:
In order to calculate a sequence of events you need to multiply the probability of each event happening with one another in decimal form. In this scenario, the probability of James bowling a strike is 55% meaning that the probability of James NOT bowling a strike is 45%. We want to know the probability of James NOT bowling a strike for 3 attempts and then bowling a strike on his fourth attempt. We first turn these probabilities into decimal form by dividing them by 100. And then multiply...
55 / 100 = 0.55
45 / 100 = 0.45
0.45 * 0.45 * 0.45 * 0.55 = 0.05011875
Multiply by 100 to get percentage.
0.05011875 * 100 = 5.01%
22.5240 rounded to the nearest thousandth is 22.524. For this decimal
number to be rounded up rather than down, the original number would have
had to been 22.525 or higher.